Journal ArticleDOI
A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. part II: computational aspects
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TLDR
In this article, the authors proposed a hyperelastic J2-flow theory for elastoplastic tangent moduli, which reduces to a trivial modification of the classical radial return algorithm which is amenable to exact linearization.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1988-05-01. It has received 475 citations till now. The article focuses on the topics: Linearization & Hyperelastic material.read more
Citations
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A Critical Heat Generation for Safe Nuclear Fuels after a LOCA
TL;DR: In this paper, the authors applied a thermo-elasto-plastic-creep finite element procedure to the analysis of an accidental behavior of nuclear fuel as well as normal behavior.
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On the quasi‐yield surface concept in plasticity theory
TL;DR: In this article, the concept of the quasi-yield surface in plasticity theory was introduced and a general rate equation which is able to enforce elastic-plastic behavior was proposed.
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Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation
TL;DR: In this paper , an enhancement of the extended B-spline-based implicit material point method (EBS-MPM) is developed to avoid pressure oscillation and volumetric locking.
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Obstacle Test for Large Deformation Plasticity Problems
Jeffrey Heckman,Jacob Fish +1 more
TL;DR: In this article, an obstacle test for large deformation plasticity problems is proposed for evaluation of mathematical models and numerical algorithms, which consists of a suite of verification and validation problems.
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Simulation of strain localization in metal forming processes using bilinear mixed u/p elements
TL;DR: In this paper, a large deformation finite element approach for numerical analysis of the strain localization is developed based on the concept of mixed interpolation of displacement/pressure, and the corresponding consistent tangent stiffness is derived to maintain the asymptotic quadratic convergence of the Newton-Raphson iterative scheme used in the solution of the implicit equilibrium equations.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
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Numerical Methods for Nonlinear Variational Problems
Roland Glowinski,J. T. Oden +1 more
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Consistent tangent operators for rate-independent elastoplasticity☆
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, it is shown that consistency between the tangent operator and the integration algorithm employed in the solution of the incremental problem plays crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method.
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On numerically accurate finite element solutions in the fully plastic range
TL;DR: In this paper, a general criterion for testing a mesh with topologically similar repeat units is given, and it is shown that only a few conventional element types and arrangements are suitable for computations in the fully plastic range.